"Attributing to statistics the inherent ability to describe universal laws
leads to many prevalent and interesting fallacies. Following G.K.
Chesterton, we caution against using statistics as a drunk uses a lamp post:
for support rather than illumination." (A. Einstein, 1956)
## Descriptive StatisticsMean= average
## Scales of Measurement:Refresher:
- Geologists have a "hardness" scale for rocks 1-10
- Three cubes were measures with a ruler and found to have volumes of 40, 65, and 75 cubic inches
- Three different highways are identified by their numbers: 95, 76, 476
- Republicans, Democrats, Independents, Libertatians
- The pages of a book 1-150.
## Statistics with Scales:Nominal: Mode
Even with interval/ratio data, the mean may give inaccurate data.
The developer of SARH is attempting to sell lots in a "Southern Paradise" to northern buyers. The "marks" express concern that flooding might occur. The developer reassures them by explaining that the average elevation of the lots is 78.5 feet and that the water has never exceeded 25 feet.
Mean elevation = 78.5 (20 lots above water) Mean larger than median = "skew"
Ordinal Data Used as Interval/Ratio: |